Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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letters a, b, c, and d are angle measures. which should equal 105° to p…
d
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for the figure below, give the following. (a) one pair of vertical angl…
(a) Vertical angles: $\angle1$ and $\angle3$ (or other valid vertical - angle pairs) (b) Linear pair: $\angle1$ and $\angle2$ (or other valid linear - pair pairs) (c) Supplementar…
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which rigid transformation would map △abc to △edc? a rotation about poi…
a rotation about point \( C \)
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convert the following angle from degrees to radians. express your answe…
$\frac{11\pi}{12}$
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find the distance between the two points in simplest radical form.
\(2\sqrt{5}\)
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express the area of the entire rectangle. your answer should be a polyn…
\(x^{2}+11x + 30\)
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a rectangle has a height of 7 and a width of $2x^{2}-3$. express the ar…
\(14x^{2}-21\)
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three undefined terms in mathematics i point ii line iii plane the math…
- Parallel lines: Line - Perpendicular lines: Line - Line segment: Line and Point
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determine if the properties define a ray or a line segment cannot be me…
- **Ray**: cannot be measured, continues forever in one direction, has one endpoint. - **Line Segment**: has a definite beginning and end, can be measured, has two endpoints.
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determining angle measures let ( mangle a = 40^{circ}). if (angle b) is…
\(m\angle B = 50^{\circ}\) \(m\angle C = 130^{\circ}\)
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look at this diagram: if \\( overrightarrow{o q} \\) and \\( overrighta…
\(132\)
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what is the volume of this sphere? round your answer to the nearest hun…
\(7238.23\)
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what is the volume of this sphere? round your answer to the nearest hun…
\(9.20\)
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find the volume of the rectangular prism.
\(48\space cm^{3}\)
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the equation of a circle is given below. identify the radius and the ce…
Radius: \(4\) Center: \((-2,1)\)
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the rectangle below has an area of $x^{2}-7x + 10$ square meters and a …
\(x-2\)
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write the standard form of the equation of the circle with the given ce…
\((x - 6)^2+(y + 9)^2=14\)
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the triangles are necessarily congruent. for each of the first three bo…
The reason for \(\triangle KLM\cong\triangle AZY\) is SAS (Side - Angle - Side) congruence criterion.
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determine if the two triangles are necessarily congruent. if so, fill i…
The two triangles \(\triangle ZAY\) and \(\triangle KLM\) are congruent by the SAS (Side - Angle - Side) congruence criterion.
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find the ratio of triangles to total shapes in the diagram below. unsim…
For every \(2\) triangles there are \(7\) total shapes, therefore the simplified ratio of triangles to total shapes is \(2:7\).
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read the description of a proportional relationship. roxanne is measuri…
\(y = 2x\)
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a company makes wax candles in the shape of a cylinder. each candle has…
\(15825.6\)
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determine the type of triangle that is drawn below.
Isosceles triangle.
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question in the diagram below, \\( \\overline { a d } \\cong \\overline…
\(m\angle E = 57.5^{\circ}\)
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the point n lies on the segment mp. find the coordinates of n so that t…
\((6,3)\)
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find each measure. 1. \\( \\angle l y f \\)
\(122^{\circ}\)
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the image shows parallel lines cut by a transversal. the expressions re…
A. 8
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which segment is adjacent to \\( \\angle z \\)?
\(\overline{LZ}\)
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the figure below rotational symmetry. has does not have is the smallest…
The figure has rotational symmetry. The smallest possible rotation that results in the figure being mapped onto itself is \(20^{\circ}\).
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find the measure of each angle indicated. 1)
\(32^{\circ}\)
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3. triangle abc has vertices a(-5,6), b(1,-2), and c(-3,-4). what are t…
\(A'(-5,-6)\), \(B'(1,2)\), \(C'(-3,4)\)
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question find the distance between the two points in simplest radical f…
\(\sqrt{113}\)
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given \\( \\triangle abc \\), what is \\( m\\angle b \\)? \\( m\\angle …
\(30\)
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naveen plotted his triangular garden on a coordinate plane. what are th…
The vertices of the reflected triangle are \((4, - 3)\), \((-2,-4)\), \((-3,5)\)
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solve for x. round to the nearest tenth of a degree, if necessary. answ…
\(x\approx59.0^{\circ}\)
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which rule explains why these triangles are congruent? * sss asa aas hl…
AAS
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select the transversal connecting \\( \\angle 4 \\) and \\( \\angle 5 \…
Transversal: line \(d\); Relationship: alternate interior angles.
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find the area of the triangle below. be sure to include the correct uni…
\(60\) square feet
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question find the distance between the two points in simplest radical f…
\(\sqrt{85}\)
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how many lines of symmetry does this shape have? 3 5 4
5
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calculate the missing measurement. ∠b = ?°
\(65\)
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write a similarity statement. (\trianglesquaresim\triangle)
The triangles are similar by SAS. The similarity statement is \(\triangle JKH\sim\triangle TRS\) (assuming proper vertex naming based on the figure's structure with the two sides …
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which rule explains why these scalene triangles are similar? sss sas aa…
none of the above; the triangles cannot be proven similar
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are these scalene triangles similar? yes no
yes
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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6. calculate the volume of a square - based pyramid with a base side of…
A. 83.33 cubic units
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sss sas aa none of the above; the triangles cannot be proven similar wr…
\(\triangle IGG\sim\triangle UVV\) (adjust the vertex labels based on the actual triangle vertex names. If the first triangle has vertices \(I\), \(G\), \(A\) and the second has \…
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what is the image of $(2, -4)$ after a dilation by a scale factor of 2 …
\((4,-8)\)
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find the circumference. c = ? m c = πd = 2πr use π = 3.14
\(62.8\)
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∠abc is shown. place the steps for constructing a copy of the angle in …
1. Make a point \( P \) that will be the vertex of the new angle. From \( P \), draw a ray \( \overrightarrow{PQ} \). This will become one side of the new angle. 2. Place the comp…
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a right triangle has side lengths 9, 40, and 41 as shown below. use the…
\(\cos B=\frac{9}{41}\), \(\tan B=\frac{40}{9}\), \(\sin B=\frac{40}{41}\)
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a right triangle has side lengths 5, 12, and 13 as shown below. use the…
\(\sin X=\frac{5}{13}\), \(\tan X=\frac{5}{12}\), \(\cos X=\frac{12}{13}\)
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a right triangle has side lengths 7, 24, and 25 as shown below. use the…
\(\cos B=\frac{7}{25}\), \(\tan B=\frac{24}{7}\), \(\sin B=\frac{24}{25}\)
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answer the questions about figure a and figure b below. (a) which seque…
(a) None of these; (b) No
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problem 8: (first taught in lesson 45) the lengths of two sides of a tr…
a. \(9>3\text{rd side}>5\) b. \(33>3\text{rd side}>9\)
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a rose garden is formed by joining a rectangle and a semicircle, as sho…
\(1123.33\) \(ft^{2}\)
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find the area. area of △ = ? in² area of □ = in² remember: a△ = ½bh are…
Area of $\triangle = 24\ \text{in}^2$, Area of $\square = 108\ \text{in}^2$, Area of Figure $= 132\ \text{in}^2$
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∠fbc and ∠cbg are supplements, ∠dbg and ∠dbf are supplements, and ∠cbg …
\(\angle FBC\cong\angle DBG\) (the second option)
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9)use the diagram to solve for x, how high up the ladder will go?
\(18\)
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planes x and y intersect at a right angle. ab and cg lie in plane x and…
- $\overleftrightarrow{AB}$ and $\overleftrightarrow{CG}$ are parallel - $\overleftrightarrow{CG}$ and $\overleftrightarrow{RS}$ are perpendicular - $\overleftrightarrow{CG}$ lies…
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analyze the diagram to answer the questions another way to name \\( \\a…
1. $\angle CAS$ 2. $T$ 3. $\angle RAB$
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analyze the diagram to answer the questions another way to name \\( \\a…
1. \( \angle RAC \) 2. \( T \) 3. \( \angle RAB \)
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triangle qrs and its dimensions are shown. which measurements in centim…
\(3\mathrm{cm},6\mathrm{cm},7.5\mathrm{cm}\)
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which defines ray? a piece of a line with two endpoints all points equi…
D. a piece of a line that starts at the endpoint and extends indefinitely in one direction
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a pair of quadrilaterals are similar. which statements about the quadri…
The corresponding angles of the quadrilaterals must be congruent; The corresponding side lengths of the quadrilaterals must be proportional.
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incorrect your answer is incorrect. the diameter, d, of a sphere is 15.…
\( 1980.1\mathrm{mm}^{3} \)
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a circle has a diameter of 12 centimeters. which measurement is closest…
37.68 cm
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the diameter, d, of a sphere is 15.6mm. calculate the spheres volume, v…
\(1987.9\)
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a circular clock has a diameter of 70 feet. which measurement is closes…
1256 square feet
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the radius r of a sphere is 9.4m. calculate the spheres surface area a.…
\(1109.8\space m^{2}\)
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5) if 1 inch = 2.54 cm, circle which proportion shows how many centimet…
\(\frac{2.54}{1}=\frac{x}{15}\)
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incorrect one of the digits in your answer is wrong. check your work ca…
\(1109.8\space m^{2}\)
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triangles below are similar to each other. what setup will find the val…
\(\frac{10}{5}=\frac{x}{7}\) (First option)
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def. of ≅ def. of ≅ def. of ≅ def. of ≅ def. of perpendicular def. of c…
## First Proof: 1. Given 2. Linear - Pair Postulate 3. \(m\angle1 + m\angle2=180^{\circ}\) 4. Substitution 5. Definition of Supplementary \(\angle\)s ## Second Proof: 1. Given 2. …
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attendance this past season for the los angeles angles was $6.29 \\time…
$5.66\times10^{6}$
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match the definitions to the mathematical terms they describe piece of …
- piece of a line with two endpoints: line segment - all coplanar points equidistant from a given point: circle - two rays with a common endpoint: angle - piece of a line with one…
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mixed exercises 11. find ( mangle abc ) and ( mangle cbd ) if ( mangle …
\(m\angle ABC = 36^{\circ}\) and \(m\angle CBD=84^{\circ}\)
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for numbers 10a - 10e, circle yes or no to indicate if the expression c…
10a. NO 10b. YES 10c. NO 10d. YES 10e. YES
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incorrect the value in your answer is incorrect. the radius of a cylind…
\(276\mathrm{ft}^{3}\)
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the radius of a cylindrical construction pipe is 2ft. if the pipe is 22…
\(276\mathrm{ft}^{3}\)
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7. what is the value of x? round to the nearest tenth, if necessary. a.…
B. \(x\approx4.4\) ### 8.
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find the volume of the rectangular prism. 5 in 5 in 5 in in³
\(125\)
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find the surface area of a cylinder with a base radius of 4 m and a hei…
\(301.44\space m^{2}\)
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find the perimeter of the square. include the unit. 25 cm
\(100\) cm
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find the perimeter of the rectangle. include the unit.
\(74\) yd
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incorrect your answer is incorrect. find the area of the right triangle…
\(12\) square units
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find the area of the right triangle. 1 unit
12
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lashonda wants to plant grass in her backyard. her backyard is in the s…
56
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find the area of this square. 9 m
\(81\)
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find the perimeter of the square. include the unit. 13 ft
52 ft
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find the perimeter of the shaded shape. 1 unit 1 unit units
\(12\)
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in the figure below, ( mangle abd = 101^{circ}, mangle cbd = 68^{circ} …
\(67\)
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the angle created by ray ox and ray oz is angle the two rays that creat…
1. $\angle ZOX$ 2. $OY$ 3. $O$
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in the figure below, ( mangle1 = 77^{circ} ). find ( mangle2 ), ( mangl…
\(m\angle2 = 103^{\circ}\), \(m\angle3 = 77^{\circ}\), \(m\angle4 = 103^{\circ}\)
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complete the flowchart proof. then use this to write a two - column pro…
The two - column proof is shown above, which proves that \(\angle2\cong\angle4\) using the given \(\angle1\cong\angle3\) and the Vertical Angles Congruence Theorem along with the …
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given: a || b ∠6 ≅ ∠2 prove: a || c 1 a || b given 2 ∠6 ≅ ∠2 given 3 va…
The reason for step 3 is "Transitive property of congruence and converse of corresponding angles postulate"
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in the figure below, g is between e and h, and f is the midpoint of eg.…
\(4\)
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vocabulary what are the two types of angles that are formed by intersec…
vertical angles, supplementary angles
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find the distance between the points (-6, -7) and (-3, -7). distance:
\(3\)
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find the distance between point e and point f.
\(4\)